• Title/Summary/Keyword: Square root solution

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Integral Approximate Solutions to a One-Dimensional Model for Stratified Thermal Storage Tanks (성층화된 축열조의 1차원모델에 대한 적분 근사해)

  • Chung, Jae-Dong
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.7
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    • pp.468-473
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    • 2010
  • This paper deals with approximate integral solutions to the one-dimensional model describing the charging process of stratified thermal storage tanks. Temperature is assumed to be the form of Fermi-Dirac distribution function, which can be separated to two sets of cubic polynomials for each hot and cold side of thermal boundary layers. Proposed approximate integral solutions are compared to the previous works of the approximate analytic solutions and show reasonable agreement. The approach, however, has benefits in mathematical difficulties, complicated solution form and unstable convergence of series solution founded in the previous analytic solutions. Solutions for a semi-infinite region, which have simple closed form solutions, give close agreement to those for a finite region. Thermocline thickness is obtained in closed form and shows proportional behavior to the square root of time and inverse proportional behavior to the square root of flow rate.

Ljung-Box Test in Unit Root AR-ARCH Model

  • Kim, Eunhee;Ha, Jeongcheol;Jeon, Youngsook;Lee, Sangyeol
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.323-327
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    • 2004
  • In this paper, we investigate the limiting distribution of the Ljung-Box test statistic in the unit root AR models with ARCH errors. We show that the limiting distribution is approximately chi-square distribution with the degrees of freedom only depending on the number of autocorrelation lags appearing in the test. Some simulation results are provided for illustration.

The Real-Time Distance Relay Algorithm Using fault Location Estimation Information for Parallel Transmission Line (병행 2회선 송전선로에서 고장점 위치 추정정보를 이용한 실시간 거리계전 알고리즘)

  • 이재규;유석구
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.3
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    • pp.183-192
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    • 2003
  • This paper presents the real-time implemented distance relay algorithm which the fault distance is estimated with only local terminal information. When a single-phase-to-earth fault on a two-parallel transmission line occurs, the reach accuracy of distance relay is considerably affected by the unknown variables which are fault resistance, fault current at the fault point and zero- sequence current of sound line The zero-sequence current of sound line is estimated by using the zero sequence voltage which is measured by relaying location Also. the fault resistance is removed at the Process of numerical formula expansion. Lastly, the fault current through a fault point is expressed as a function of the zero-sequence current of fault line, zero-sequence current of sound line, and line, and fault distance. Therefore, the fault phase voltage can be expressed as the quadratic equation of the fault distance. The solution of this Quadratic equation is obtained by using a coefficient of the modified quadratic equation instead of using the square root solution method. After tile accurate fault distance is estimated. the mote accurate impedance is measured by using such an information.

Ultrasonic Inspection of Internal Defects of Potatoes (초음파를 이용한 감자의 내부결함검사)

  • Kim, In-Hoon;Jung, Kyu-Hong;Jang, Kyung-Young;Seo, Ryun;Kim, Man-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.3
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    • pp.82-88
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    • 2003
  • The nondestructive internal quality evaluation of agricultural products has been strongly required from the needs for individual inspection. Recently, the ultrasonic wave has been considered as a solution fur this problem, and an ultrasonic system was constructed for the ultrasonic NDE of fruits and vegetables in our previous work. In this paper, the practical applicability of our ultrasonic system is tested fur the inspection of internal defects (central cavity) in Atlantic potato. Sound speed and RMS of transmitted ultrasonic wave signal were measured and classification algorithm using 2 dimensional stochastic analysis. was presented. Experimental results showed greater value of sound speed and RMS (root mean square) of transmitted signal in normal samples than in abnormal samples with cavity. Also a stochastic method to distinguish normal and abnormal showed fault detection rate less than 5%.

Desalting Method for Removing $Cl^-$ Ions from the Exacavated Irons Objects (출토 철제 유물의 탈염 처리 방법 고찰)

  • Moon, Whan-Suk;Hwang, Jin-Ju;Jung, Young-Dong
    • 보존과학연구
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    • s.17
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    • pp.1-19
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    • 1996
  • Desalting methods for chloride ions from the excavated iron objects were studied. These methods were compared with room temperature and heating condition of treating solution. During the Desalting treatments the $Cl^-$concentration of the solution were measured regularly and the plotted for $Cl^-$concentrations the square root of time, heating methods showed that the $Cl^-$ ions are more extracted. For the desalting treatments these plots were found to be flattening line, it was showed the changing second solution. Also, the changing solution in the room temperation detected less $Cl^-$ ions of heating treatment solution. As the examination for the relative humidity has compared for desalting objects during 8 days, it was showed a re-corroded appearance of R.H90%. As it did not detected a $Cl^-$ ions of re-corroded section, these phenomena were showed the naturally occuring corrosion of the objects in the high relative humidity.

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Effect of annealing temperature on surface properties of chemical solution derived silicate fiber (화학적 용액법으로 제조한 실리케이트 섬유의 표면 특성에 미치는 열처리 온도의 영향)

  • 황규석;김상복;이영환;장승욱;오정선;안준형;김병훈
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.13 no.5
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    • pp.217-221
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    • 2003
  • In this work, chemical-solution derived silicate fibers were prepared by mixing tetraethyl orthosilicate, ethanol, distilled water, and hydrochloric acid in order to investigate surface roughness of fiber. Silicate fibers were drawn by using a viscous solution after evaporation at $80^{\circ}C$. The dried gel fibers were finally annealed at $1000^{\circ}C$, $1100^{\circ}C$, $1200^{\circ}C$ and $^1300{\circ}C$ for 60 min in dried air (flow rate = ∼200 ml/min). The crystallinity of the heat-treated silica fiber was analyzed by the X-ray diffraction $\theta$-2$\theta$ scan. A field emission-scanning electron microscope and an atomic force microscope were used to evaluate surface properties. The silicate fiber annealed at $1300^{\circ}C$ showed high value of root mean square roughness and had a relatively inhomogeneous surface structure.

Effects of Process Conditions on the Color and Firmness of Salted Radish Root (Danmooji) at Model System (모델 시스템을 이용한 제조 조건이 단무지의 색도 및 경도에 미치는 영향)

  • Ku, Kyung-Hyung;Park, Wan-Soo;Lee, Kyung-A
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.34 no.9
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    • pp.1477-1484
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    • 2005
  • The effects of various seasoning components, pH of seasoning solution, heating time and storage temperature were investigated on the color and textural properties of the salted radish root (nanmooji) The effects of individual seasoning components in the salted radish root, additives of polyphosphate (AD3), citric acid (AD5), malic acid (AD2) delayed the color changes and softening more, compared to control soaked in water. On the other hand, additives of potassium sorbate (AD1), succinic acid (AD7), MSG (AD8), saccharin (AD6) accelerated the color changes and softening of the salted radish roots. The effects of pH of seasoning solution($X_1$), and heating time ($X_2$) were central composite design and response surface analysis. R- square represented dependent variables correlated independent variables ($X_1,\;X_2$), showed over 0.8 in the color and area value calculated thickness and firmness of salted radish root. Especially, R- square of 'b' represented 'yellow-green' was 0.899. And the result of crossing analysis of individual independent variables ($X_1,\;X_2$), showed that both independent variables had significant effects on the color and textural changes of the salted radish root. The salted radish root increased its color changes and softening, rapidly at $40^{\circ}C$, compared to the other storage temperatures at most storage periods.

Surface Treatment of ITO (Indium-Tin-Oxide) thin Films Prepared by Sol-Gel Process (졸-겔 공정에 의해 제조된 ITO (Indium-Tin-Oxide) 박막의 표면처리)

  • Jung, Seung-Yong;Yun, Young-Hoon;Yon, Seog-Joo
    • Journal of the Korean Ceramic Society
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    • v.44 no.6 s.301
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    • pp.313-318
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    • 2007
  • ITO (Indium-tin oxide) thin films have been prepared by a sol-gel spinning coating method and fired and annealed in the temperature range of $450-600^{\circ}C$. The XRD patterns of the films indicated the main peak of (222) plane and showed higher crystallinity with increasing an annealing temperature. The surface of the ITO thin films were treated with 0.1 N HCl 20% solution at room temperature. The effects of surface treatment on electrical properties and surface morphologies of the ITO films were investigated with the results of sheet resistance and FE-SEM, AFM images. The samples, subsequently treated with acidic solution for 40 sec showed the sheet resistance of $0.982\;k{\Omega}/square$. The surface treatment using acidic solution diminished the RMS (root mean square) value and the residual carbon content of the ITO films. It seemed that the acid-cleaning of the ITO thin films lead to the decrease of surface roughness and sheet resistance.

Heat Transfer by Liminar Oscillating Pipe Flow in Thermally Developing Region (원관내 층류 왕복유동에 의한 열적발달영역에서의 열전달)

  • 이대영;박상진;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.997-1008
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    • 1994
  • Heat transfer by laminar oscillating flow in a circular pipe has been studied analytically. The general solution with respect to the arbitrary wall boundary condition is obtained by superposing the fluid temperatures with the sinusoidal wall temperature distributions. The fulid temperature distributions are two dimensional, but uniform flow assumption is used to simplify the velocity distribution. The heat transfer characteristics in the thermally developing regions are analyzed by applying the general solution to the two cases of thermal boundary conditions in which the wall temperature and wall heat flux distributions have a square-wave form, respectively. The results show that the length of the thermally developing region becomes larger in proportion to the oscillation frequency at slow oscillation and eventually approaches to the value comparable to the swept distance as the frequency increases. The time and cross-section averaged Nusselt number in the developing region is inversely proportional to the square root of the distance from the position where the wall boundary condition is changed suddenly. In the developed region, Nusselt number is only determined by the oscillation frequency.

Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM

  • Polatov, Askhad M.;Khaldjigitov, Abduvali A.;Ikramov, Akhmat M.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.305-321
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    • 2020
  • In this paper is presented the solution method for three-dimensional problem of transversely isotropic body's elastoplastic deformation by the finite element method (FEM). The process of problem solution consists of: determining the effective parameters of a transversely isotropic medium; construction of the finite element mesh of the body configuration, including the determination of the local minimum value of the tape width of non-zero coefficients of equation systems by using of front method; constructing of the stiffness matrix coefficients and load vector node components of the equation for an individual finite element's state according to the theory of small elastoplastic deformations for a transversely isotropic medium; the formation of a resolving symmetric-tape system of equations by summing of all state equations coefficients summing of all finite elements; solution of the system of symmetric-tape equations systems by means of the square root method; calculation of the body's elastoplastic stress-strain state by performing the iterative process of the initial stress method. For each problem solution stage, effective computational algorithms have been developed that reduce computational operations number by modifying existing solution methods and taking into account the matrix coefficients structure. As an example it is given, the problem solution of fibrous composite straining in the form of a rectangle with a system of circular holes.